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What is a way of expressing the polynomial as a product of two or more factors?

Sagot :

Nashgabrielatienza25idn

Answer:

Factoring a polynomial

Step-by-step explanation:

A. (x-3)(x+4)(x-6)

Step-by-step explanation:

We need to find the polynomial f(x)=x^3 - 5x^2 - 18x + 72 as a product of lineal factors.

We're going to solve the problem using Ruffini's rule:

                1        -5         -18       72

3                          3          -6       -72

______________________________

                  1       -2         -24         0

Then we have:

                1       -2         -24

-4                       -4          24

______________________________

                1        -6         0

Lastly:

                 1        -6

6                            6

______________________________

                1            0

Then, the roots are: x=6, x=-4 and x=3

For that reason, the product of linear factors is:

(x-6)(x+4)(x-3) which is option A.

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